556996540800 has 768 divisors, whose sum is σ = 2250777369600. Its totient is φ = 118165340160.

The previous prime is 556996540781. The next prime is 556996540843. The reversal of 556996540800 is 8045699655.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83391861 + ... + 83398539.

It is an arithmetic number, because the mean of its divisors is an integer number (2930699700).

Almost surely, 2^556996540800 is an apocalyptic number.

556996540800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556996540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125388684800).

556996540800 is an abundant number, since it is smaller than the sum of its proper divisors (1693780828800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

556996540800 is a wasteful number, since it uses less digits than its factorization.

556996540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6803 (or 6786 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 57.

The spelling of 556996540800 in words is "five hundred fifty-six billion, nine hundred ninety-six million, five hundred forty thousand, eight hundred".